Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 30 days

Continue

Input your name and email to request the answer

Like

Report

Rewrite the given sum using sigma notation.$$1+2+4+8+\dots+2048$$

$$\sum_{i=1}^{12} 2^{i-1}$$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 5

Sigma Notation and Areas

Integrals

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

02:01

Write the given sum using …

03:44

Write the sum using sigma …

01:13

Use sigma notation to writ…

00:46

Write the indicated sum in…

02:47

01:01

Rewrite the sums using sig…

00:29

Use sigma notation to repr…

02:06

00:33

No transcript available

View More Answers From This Book

Find Another Textbook

00:58

$f(x, y)=x^{2}-y^{2}-3 x^{3} y,$ determine (a) $f(1,-1),(\mathrm{b}) f(2,3)$…

00:59

$f(x, y)=100 x^{1 / 4} y^{3 / 4},$ determine (a) $f(1,16),(\text { b) } f(16…

02:45

Evaluate the given integral.$$\int_{-1}^{1} x^{2} e^{-2 x^{3}} d x$$

02:39

Determine the derivative.$$e^{x+2 y}=x^{2}+y$$

01:44

Use the method of Lagrange multipliers to optimize $f$ as indicated, subject…

04:56

Determine the area of the region between the given curves.$$f(x)=|x| \te…

01:32

Evaluate the given integral and check your answer.$$\int x^{3} d x$$

02:38

03:25

Find an exponential function determined by the data in Table 8 .$$\begin…

01:58

Evaluate the given integral and check your answer.$$\int \sqrt{t} d t$$<…